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Finding the Fourth Proportional to 366,003.11, 505,084.17 and 204,858.07

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Solution

The fourth proportional to 366,003.11, 505,084.17 and 204,858.07 is: 282,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,003.11 : 505,084.17 = 204,858.07 : x
  2. Step 2: Convert to fraction form
    366,003.11/505,084.17 = 204,858.07/x
  3. Step 3: Cross multiply
    366,003.11x = 505,084.17 × 204,858.07
  4. Step 4: Simplify right side
    366,003.11x = 103,470,568,253.75
  5. Step 5: Solve for x
    x = 103,470,568,253.75/366,003.11
  6. Step 6: Final answer
    x = 282,704.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.